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55104551145 = 3257177321931
BaseRepresentation
bin110011010100011111…
…001011100011101001
312021020022221020101200
4303110133023203221
51400323231114040
641151545434413
73660353646030
oct632437134351
9167208836350
1055104551145
112140809a966
12a81a49ba09
1352724767a7
14294a649717
151677a9e630
hexcd47cb8e9

55104551145 has 144 divisors (see below), whose sum is σ = 117246310272. Its totient is φ = 23371960320.

The previous prime is 55104551143. The next prime is 55104551147. The reversal of 55104551145 is 54115540155.

55104551145 is a `hidden beast` number, since 55 + 10 + 4 + 551 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (55104551143) and next prime (55104551147).

It is not a de Polignac number, because 55104551145 - 21 = 55104551143 is a prime.

It is a super-2 number, since 2×551045511452 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55104551143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28535830 + ... + 28537760.

It is an arithmetic number, because the mean of its divisors is an integer number (814210488).

Almost surely, 255104551145 is an apocalyptic number.

It is an amenable number.

55104551145 is an abundant number, since it is smaller than the sum of its proper divisors (62141759127).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55104551145 is a wasteful number, since it uses less digits than its factorization.

55104551145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 55104551145 in words is "fifty-five billion, one hundred four million, five hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 73 85 105 119 153 219 255 315 357 365 511 595 657 765 1071 1095 1241 1533 1785 1931 2555 3285 3723 4599 5329 5355 5793 6205 7665 8687 9655 11169 13517 15987 17379 18615 22995 26061 26645 28965 32827 37303 40551 43435 47961 55845 67585 78183 79935 86895 90593 98481 111909 121653 130305 140963 164135 186515 202755 229789 239805 271779 295443 335727 390915 422889 452965 492405 559545 608265 634151 689367 704815 815337 986741 1148945 1268667 1358895 1477215 1678635 1902453 2068101 2114445 2396371 2960223 3170755 3446835 4076685 4933705 5707359 6343335 7189113 8880669 9512265 10290299 10340505 11981855 14801115 16774597 21567339 28536795 30870897 35945565 44403345 50323791 51451495 72032093 83872985 92612691 107836695 150971373 154354485 174935083 216096279 251618955 360160465 463063455 524805249 648288837 754856865 874675415 1080481395 1224545581 1574415747 2624026245 3241444185 3673636743 6122727905 7872078735 11020910229 18368183715 55104551145